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## Field of an Electric Charge
In middle school you mapped magnetic field lines using iron filings.
In class, we saw a demonstration of electric field lines using grass seeds suspended in mineral oil. When the grass seeds are exposed to a strong electric field, the grass seeds become polarized and line up along the ... | HuggingFaceTB/finemath | |
# Reverse Induction?
by Char. Limit
Tags: induction, reverse
PF Gold P: 1,930 1. The problem statement, all variables and given/known data Say I had a problem like this: Prove that the nth derivative of x*e^(x) is (x+n)*e^(x) for all integer n. Can I use reverse induction to prove for negative n? For example... Say I... | HuggingFaceTB/finemath | |
Exterior angles are defined as the angle formed between the next of the polygon and also the extended nearby side the the polygon. The exterior angle theorem states that as soon as a triangle's next is extended, the result exterior angle created is same to the amount of the steps of the two opposite interior angles the... | HuggingFaceTB/finemath | |
# Can you have 2 equal signs in an equation?
## Can you have 2 equal signs in an equation?
Two equals signs means that the first quantity is equal to the second quantity, and the second quantity is equal to the third quantity, or that all three quantities are equal. No surprises. x+2=6, and 6=y+3, so x=4,y=2.
## Whe... | HuggingFaceTB/finemath | |
# Cuboid calculation
For cuboids those formulas hold:
base area = a*b
volume = a*b*c
surface=2*a*b + 2*a*c + 2*b*c
## What is a cuboid?
A cuboid is a solid where all edges are perpendicular on each other. Therefore, a cuboid has rectangles as faces. So we can see there are always 4 edges having the same length.
## ... | HuggingFaceTB/finemath | |
##### Praxis Core: 1,001 Practice Questions For Dummies
If you run across a question on the Praxis Core exam where you have to solve an arithmetic or geometric sequence, just remember: it's all about finding regular patterns—and sometimes working backwards.
In the following practice questions, you start by finding a g... | HuggingFaceTB/finemath | |
Related Articles
# Shortest distance from the centre of a circle to a chord
• Last Updated : 15 Mar, 2021
Given a circle which has a chord inside it. The length of the chord and the radius of the circle are given. The task is to find the shortest distance from the chord to the centre.
Examples:
```Input: r = 4, d =... | HuggingFaceTB/finemath | |
Comparison between Simple Interest and Compound Interest
Comparison between Simple Interest and Compound Interest for the same principal amount.
Interest is of two kinds – Simple Interest and Compound Interest.
In the problems of interest, if the type of interest is not mentioned, we will consider it as simple inter... | HuggingFaceTB/finemath | |
Are all hypotenuses irrational if the shorter sides are integers?
Is it sufficient to say that providing the shorter two sides of a right triangle can be expressed as integers that work out to equal the value of the hypotenuse, then the value of the hypotenuse must be irrational? For example, suppose I wish to prove t... | HuggingFaceTB/finemath | |
### #ezw_tco-2 .ez-toc-widget-container ul.ez-toc-list li.active{ background-color: #ededed; } chapter outline
The quadratic equation, written in the general form as ax2 + bx + c = 0 is derived using the steps involved in completing the square.
## Steps to Derive the Quadratic Formula
To derive the quadratic formula... | HuggingFaceTB/finemath | |
## 111214
111,214 (one hundred eleven thousand two hundred fourteen) is an even six-digits composite number following 111213 and preceding 111215. In scientific notation, it is written as 1.11214 × 105. The sum of its digits is 10. It has a total of 3 prime factors and 8 positive divisors. There are 52,320 positive in... | HuggingFaceTB/finemath | |
JEE > JEE Main Previous year questions (2016-20): Conic Sections
# JEE Main Previous year questions (2016-20): Conic Sections Notes | Study Mathematics For JEE - JEE
## Document Description: JEE Main Previous year questions (2016-20): Conic Sections for JEE 2022 is part of Mathematics For JEE preparation. The notes... | HuggingFaceTB/finemath | |
# The proportion of defective computers built by byte
• Homework Help
• SargentStrawBuffalo547
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• 100% (2) 2 out of 2 people found this document helpful
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: The proportion of defective computers built by Byte Computer Corporation with new assembly process is 0 . 15. H 1 : T... | HuggingFaceTB/finemath | |
# Linear Independence of trigonometric functions
S.G. Janssens
If the objective is the same, then the system is still linearly dependent. For any sub-system's linear dependence implies the entire system if linearly dependent.
Sure, but the OP's question was to determine the dimension of the span of these functions, no... | HuggingFaceTB/finemath | |
What is 7 as a fraction? Fraction Question: What is 7 as a fraction?
A fraction has a numerator and denominator and is expressed as follows: numerator/denominator.
So when you are asking "What is 7 as a fraction?" you are asking "How can I express 7 as numerator/denominator?"
To do this, simply set the numerator to ... | HuggingFaceTB/finemath | |
Home > Standard Error > What Is A High Standard Error Value
# What Is A High Standard Error Value
6298.0). Standard error statistics are a class of statistics that are provided Error Example Further reading Why do we have Standard Errors? Sokal and Rohlf (1981)[7] give an equationselected at random from the 9,732 run... | HuggingFaceTB/finemath | |
# Wealthy Maths: Prime and repo rates
In Latest, Wealthy Maths by Stealthy Wealth Every second month, the South African Reserve Bank (SARB) meets to discuss inflation and to set the repo rate. The repo rate is the rate at which the SARB lends money to the commercial banks. Although this may sound really boring, it’s ... | HuggingFaceTB/finemath | |
02-greedy
3 let c be a given alphabet with frequency cfreq
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Unformatted text preview: thm Initialize each vertex’s distance as infinity Start at a given vertex s Update s’s distanc... | HuggingFaceTB/finemath | |
# 14.99 percent of 24.99?
What is % of
### Percentage Calculator 2
is what percent of ?
is % of what?
### Solution for 'What is 14.99% of 24.99?'
In all the following examples consider that:
• The percentage figure is represented by X%
• The whole amount is represented by W
• The portion amount or part is repres... | HuggingFaceTB/finemath | |
• Views : 70k+
• Sol Viewed : 20k+
# Mind Teasers : Picture Mind Teaser
Difficulty Popularity
You are given with six marbles of three different colors. Arrange them in a manner that each one of them touches all four marbles of different colors.
Discussion
Suggestions
• Views : 40k+
• Sol Viewed : 10k+
# Mind Tease... | HuggingFaceTB/finemath | |
# Solving the n-queen puzzle
I have just solved the nqueen problem in python. The solution outputs the total number of solutions for placing n queens on an nXn chessboard but trying it with n=15 takes more than an hour to get an answer. Can anyone take a look at the code and give me tips on speeding up this program...... | HuggingFaceTB/finemath | |
Integral morphism between varieties has finite fiber
I'm looking for a proof/counterexample of the following fact:
Theorem Let $X \subseteq k^n$ and $Y \subseteq k^n$ be algebraic varieties over a field $k$ and let $\phi$ be a morphism from $X$ to $Y$. If the induced morphism on the Coordinate Rings is integral, then... | open-web-math/open-web-math | |
# Circuit Review of Exit Ticket
## Presentation on theme: "Circuit Review of Exit Ticket"— Presentation transcript:
Circuit Review of Exit Ticket
The correct answer is d We know this is a parallel circuit because there is more than one route for the electrons (current) to take
The correct answer is a The reason th... | HuggingFaceTB/finemath | |
Practice
EASY-MEDIUM
# PROBLEM:
Given a binary string S of length N, divide it into contiguous substrings, such that:
• the absolute difference between the number of 0's and 1's, in each substring, is \le K,
• the number of substrings is minimised.
# EXPLANATION:
Let an optimal partitioning of S (from left to rig... | HuggingFaceTB/finemath | |
1. ## Chain Rule
Find dy/dx
$y= sin^2(3x-2)$
I don't know how to work with $sin^2$.
I used the chain rule twice and got $6 cos(3x-2)$ .
That, however, is not the correct answer.
It is $3 sin (6x-4)$ .
Thanks!
2. Originally Posted by Truthbetold
Find dy/dx
$y= sin^2(3x-2)$
I don't know how to work with $sin^2$.
... | HuggingFaceTB/finemath | |
1. ## accumulation point
IF S is the set of all x such that 0<= x <= 1, what points, if any, are points of accumulation of both S and the compliment of S, C(S).
I don't get this question, the answer looks like 0 and 1 but can somebody explain please !!!
2. 0 and 1 would be accumulation points for the set 0<x<1, but ... | HuggingFaceTB/finemath | |
# Geometric Series and Sum to infinity
Given the first two terms of a geometric progression is twice the value of the fifth term, I want to find the least value of n such that $S_n=a(1-r^n)/(1-r)$ is within 5% of $S$. So if we let the first term be $a$ and common ratio be $r$, equating $a + ar = 2/(1-r)$ we can solve ... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Investigations similar to A Mixed-up Clock:
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Stage:
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### There are 144 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Investigations
### It Figures
##### Stage: 2 Challenge Level:
Suppose we allow ourse... | HuggingFaceTB/finemath | |
# Logit
The logit function is an important part of logistic regression: for more information, please see that article.
In mathematics, especially as applied in statistics, the logit (pronounced with a long "o" and a soft "g", IPA /loʊdʒɪt/) of a number p between 0 and 1 is
${\displaystyle \operatorname {logit} (p)=\... | HuggingFaceTB/finemath | |
# How Do You Calculate Occupancy In Excel?
## What is the formula for occupancy?
Your property occupancy rate is one of the most important indicators of success.
It is calculated by dividing the total number of rooms occupied by the total number of rooms available times 100..
## What is occupancy percentage?
Occup... | HuggingFaceTB/finemath | |
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# How do I calculate variance in Excel?
## How do I calculate variance in Excel?
Ensure your data is in a single range of cells in Excel. If your data represents the entire population, enter the formula “=VAR. P(A1:A20).” Alternatively, if your data is a sam... | HuggingFaceTB/finemath | |
# Using resistor to drop voltage in circuit with changing current [duplicate]
I have no problem calculating and understanding how to drop voltage using resistor for circuits with purely resistive loads - for example look at much current will an LED draw, subtract source and LED voltage and just use Ohms law to find ou... | HuggingFaceTB/finemath | |
# Ensemble Learning
You are currently browsing the archive for the Ensemble Learning category.
## Hierarchical Optimistic Optimization (HOO)
I’m rather fascinated by the HOO algorithm. It seems to be a combination of simulated annealing, branch and bound, simplex method, and upper confidence trees. I’m going to co... | HuggingFaceTB/finemath | |
Ex 16.3
Chapter 16 Class 11 Probability
Serial order wise Get live Maths 1-on-1 Classs - Class 6 to 12
### Transcript
Ex 16.3, 16 Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive. Given that P (not E or not F) = 0.25 P (E’ ∪ F’) = 0.25 P (E ∩ F)’ = 0.25 1 – P (E ∩ ... | HuggingFaceTB/finemath | |
#### Power
Power is the rate at which energy is used or the rate at which work is done.
Mathematically, the above statement can be expressed as: In symbols, this expression is written as: The unit of power is the WATT, (W) 1 W = 1 J/s
Example:
A crane lifts a 250 Kg crate of roof shingles from the ground on top of ... | HuggingFaceTB/finemath | |
Time to Empty or Drain a Tank, Pond, Reservoir Containing Water or other Liquid
Compute time to empty (or lower) water or other liquid. Also can solve for discharge coefficient, orifice diameter (or area), tank diameter (or area), initial liquid depth, final liquid depth.
Register to enable "Calculate" button.
Sele... | HuggingFaceTB/finemath | |
# A canti lever beam A B of a n isosceles t rapezoi-dal cross section has a length L = 0.8 m, dimensions b x = 80 mm and b 2 = 90 mm, and height h = 110 mm (see figure). The beam is made of brass weighing 85 kN/m 3 . Determine the maximum tensile stress a s and maximum compressive stress & t _ due to the beam's ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic inches to milliliters is 16.3870640693, which means that 1 cubic inch is equal to 16.3870640693 milliliters:
1 in3 = 16.3870640693 ml
To convert 332 cubic inches into milliliters we have to multiply 332 by the conversion factor in order to get the volume amount ... | HuggingFaceTB/finemath | |
Cost curves for energy
Question
What costs curves should be used for different energy products?
Data updated successfully!
Cost curves for energy(-)
ObsRowActorFuelUseReferenceUnitResultDescription
11Kuopion energiaCoal and peatDemandCurrent€,ton0, -0.06
22Kuopio marketCoal and peatSupplyCurrent€,ton0, 0.5
Paramet... | HuggingFaceTB/finemath | |
## Cutting Corners
What happens when you take a figure with 4 angles and cut off one angle? You get a figure with 3 angles, right? The girls’ answer was natural and not at all surprising. Luckily, I had prepared some paper quadrilaterals and scissors so that they each could perform the experiment. When they finall... | HuggingFaceTB/finemath | |
# Which Description Is Correct for the Polynomial 5X³?
[ad_1]
Which Description Is Correct for the Polynomial 5x³?
Polynomials are an integral part of algebra and are often used to represent various mathematical relationships. They consist of terms, each with a coefficient and an exponent. One such polynomial is 5x³,... | HuggingFaceTB/finemath | |
# Loops
Lesson
Loops (or iterations) are steps that are repeated a number of times in an algorithm. They make algorithms simpler because they don’t need to include groups of unnecessary steps.
For example, the steps involved in eating breakfast could be:
1. Fill bowl with cereal
2. Pour milk onto cereal
3. Place s... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Mathematical reasoning & proof similar to Diagonal Product Sudoku:
Filter by: Content type:
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### There are 175 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical reasoning & proof
### Convex Polygons
##### Stage... | HuggingFaceTB/finemath | |
# Chocolate Problem
Last Updated: 26 Nov, 2020
Difficulty: Moderate
## PROBLEM STATEMENT
#### Example :
``````Given 'N' : 5 (number of packets) and 'M' : 3 (number of students)
``````
``````And chocolates in each packet is : {8, 11, 7, 15, 2}
All possible way to distribute 5 packets of chocolates among 3 students... | HuggingFaceTB/finemath | |
# Velocity for uniform circular motion
• I
Chenkel
Hello everyone, I've been studying centripetal and centrifugal acceleration and derivation of their magnitude. I noticed in one of Walter Lewin's lectures that the velocity is written as both a vector and an arc length which is confusing to me. When velocity is writte... | HuggingFaceTB/finemath | |
1. ## Integrating Factor Problem
I was wondering if anyone can help me in finding a general solution to this:
$\displaystyle x\prime(t) + 2tx(t) = t$
I've tried using the integrating factor method but I must be getting it wrong or else it's the wrong method to use because the answer is weird...
2. I did it a differ... | HuggingFaceTB/finemath | |
# Area and Perimeter of a Parallelogram – Formulas and Examples
The perimeter of a parallelogram represents the length of the contour of the parallelogram. On the other hand, the area is a measure of the two-dimensional space occupied by the figure. We can find the perimeter of the parallelogram by adding the lengths ... | HuggingFaceTB/finemath | |
Chapter 0.2, Problem 59E
Chapter
Section
Textbook Problem
Simplify the expressions in Exercises 57–64, given that x , y , z , a , b , and c are positive real numbers. ( x + 9 ) 2
To determine
To calculate: The simplified form of expression (x+9)2.
Explanation
Given Information:
The provided ex... | HuggingFaceTB/finemath | |
# equation of a line calculator
Let's find out parametric form of line equation from the two known points and . A bit of theory can be found below the calculators. A line in a Euclidean space of dimension n is the set of the points whose coordinates satisfy a given set of n−1 independent linear equations. Enter 4 out ... | HuggingFaceTB/finemath | |
# Ages
Problems on Ages: Aptitude Problems based on Ages with Solutions, Problems on Ages Tricks and Shortcuts
Take Aptitude Test
View Aptitude Test Results
## Online Aptitude Questions with Answers on Ages
Q36. **The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years a... | HuggingFaceTB/finemath | |
# Use orthogonality to proof Parseval's identity for the general Fourier series written as the power spectrum
I need to show that $$\int_{-\pi}^{\pi}\left|\frac{a_0}{2}+\sum_{n=1}^{\infty}\alpha_n\cos(nx-\theta_n)\right|^2dx=2\pi\left(\frac{a_0^2}{4}+\frac12\sum_{n=1}^{\infty}\alpha_n^2\right)\tag{1}$$
Just for refer... | HuggingFaceTB/finemath | |
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# Co-ordinate Geometry - PowerPoint PPT Presentation
Co-ordinate Geometry. in the (x, y) Plane. Introduction. This chapter reminds us of how to calculate midpoints and distances between co-ordinates We will see lots of Algebraic versions as well We will also learn to solve problems involving the equation of a ... | HuggingFaceTB/finemath | |
# A packing game!
Amy and Ben are playing a game which is suggested by a genie. Amy first chooses $$a,b,c\in\mathbb{R}^+$$. Then a empty cuboid box with internal measurements $$a+b,b+c,c+a$$, and infinite supply of cuboid blocks with measurements $$a,b,c$$ magically appeared with the aid of the genie. Ben has to pack ... | HuggingFaceTB/finemath | |
1. ## questions on functions
Given that
f(x)= $\frac{5-x}{1-x}$
(a) Explain why f has an inverse and show that $f^{-1}=f$.
(b) Evaluate $f^{51}(4)$.
i can do part a,
but have no idea how to start for part b.
any help is appreciated. =)
2. ## Re: questions on functions
I guess you've to calculate the 51th derivativ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from seconds to weeks is 1.6534391534392E-6, which means that 1 second is equal to 1.6534391534392E-6 weeks:
1 s = 1.6534391534392E-6 wk
To convert 460.1 seconds into weeks we have to multiply 460.1 by the conversion factor in order to get the time amount from seconds to w... | HuggingFaceTB/finemath | |
Question
# A man walked 3 metre towards North, turned West and walked 2 metre then turned North and walked 1 metre and finally turned East and walked 5 metre. How far is he from the starting point ?
A
5 metre
B
8 metre
C
10 metre
D
12 metre
Solution
## The correct option is B $$5$$ metreLet us consider a Cartesian ... | open-web-math/open-web-math | |
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# Simplifying rational expressions: opposite common binomial factors
Sal simplifies and states the... | HuggingFaceTB/finemath | |
## Posts tagged with: shaded region
In figure 5, rectangle ABCD is inscribed in a circle. If the radius of the circle is 1 and AB = 1, what is the area of the shaded region?
A) 0.091
B) 0.285
C) 0.614
D) 0.705
E) 0.732
Draw a diagonal of the rectangle. That’s going to be the diameter of the circle, too, so you know ... | HuggingFaceTB/finemath | |
Algebra Tutorials!
Try the Free Math Solver or Scroll down to Tutorials!
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #1... | HuggingFaceTB/finemath | |
## Still not sure what you are aiming at… [General Statistics]
Hi ElMaestro,
» 1. Let us look at the wikipedia page for the t test:
» "Most test statistics have the form t = Z/s, where Z and s are functions of the data."
OK, so far.
» 2. For the t-distribution, here Z=sample mean - mean and s=sd/sqrt(n)
Wait a m... | HuggingFaceTB/finemath | |
# 71223 (number)
71,223 (seventy-one thousand two hundred twenty-three) is an odd five-digits composite number following 71222 and preceding 71224. In scientific notation, it is written as 7.1223 × 104. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 47,480 positive in... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A131524 Number of possible palindromic rows (or columns) in an n X n crossword puzzle. 7
0, 0, 1, 1, 2, 2, 4, 4, 7, 7, 12, 12, 20, 20, 3... | HuggingFaceTB/finemath | |
# 3.2: Lewis Dot Diagrams
$$\newcommand{\vecs}{\overset { \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{ra... | HuggingFaceTB/finemath | |
## Geometry: Common Core (15th Edition)
Sin=$\frac{4\sqrt 2}{9}$ Cos=$\frac{7}{9}$ Tan=$\frac{4\sqrt 2}{7}$
Sin=$\frac{opposite}{hypotenuse}$=$\frac{4\sqrt 2}{9}$ Cos=$\frac{adjacent}{hypotenuse}$=$\frac{7}{9}$ Tan=$\frac{opposite}{adjacent}$=$\frac{4\sqrt 2}{7}$ | HuggingFaceTB/finemath | |
## Umbral Calculus Derivation of the Bernoulli numbers
\$$“(B-1)^n = B^n”\$$
\begin{align*}
(B-1)^2 &= B^2\\
B^2 – 2B^1 + 1 &= B^2 \\
-2B^1+1 & = 0\\
B^1 &= \frac{1}{2} \\
B_1 &= \frac12
\end{align*}
\begin{align*}
(B-1)^3 &= B^3\\
B^3 – 3B^2 + 3B^1 – 1 &= B^3 \\
B^3 – 3B^2 + 3B_1 – 1 &= B^3 \\
-3B^2 + 3(\frac{1}{2}... | HuggingFaceTB/finemath | |
#### Physical Review A
Journal Information
ISSN / EISSN : 2469-9926 / 2469-9934
Total articles ≅ 14,416
Current Coverage
SCOPUS
SCIE
COMPENDEX
Archived in
SHERPA/ROMEO
Filter:
#### Latest articles in this journal
, Heng Wang, Yaodi Pi, Wei Huang, Yang Li, Jinlu Liu, Jie Yang, , Bingjie Xu
Published: 14 September 202... | open-web-math/open-web-math | |
# Finding the concentration of ferrous thiocyanate in calibration solutions
Concentration of $\ce{Fe(SCN)^{2+}}$ in calibration solutions
Recall that the concentration of $\ce{Fe(SCN)^{2+}}$ in the calibration solutions is essentially the concentration of the $\ce{SCN-}$ initially in the solution. So, determine the c... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 5/3 and 9/4
1st number: 1 2/3, 2nd number: 2 1/4
5/3 is smaller than 9/4
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 3 and 4 is 12
Next, find the equivalent fraction of both fractional numbers with d... | HuggingFaceTB/finemath | |
# Linear programming problem set | Mathematics homework help
Linear programming problem set | Mathematics homework help.
Problem 1
All steel manufactured by Steelco must meet the following requirements: 3.2–3.5% carbon; 1.8–2.5% silicon; 0.9–1.2% nickel; tensile strength of at least 45,000 pounds per square inch (ps... | HuggingFaceTB/finemath | |
Path: janda.org/c10 > Syllabus > Topics and Readings > Modeling Relationships > Regression in Voting Research
Using Regression in Voting Research: ecological v. individual data
Several students have chosen to explain voting behavior, using data from the States file.
• If you choose to do this, you must pay attention ... | HuggingFaceTB/finemath | |
# bps to PiBps Calculator - Convert Bits Per Second to Pebibytes Per Second ## Conversion History (Last 6)
Input Bits Per Second - and press Enter
bps
Sec
Min
Hr
Day
Sec
Min
Hr
Day
## bps to PiBps - Conversion Formula and Steps
Bit and Pebibyte are units of digital information used to measure storage capacity and d... | HuggingFaceTB/finemath | |
1
Q:
# A sapphire ring with a marked price of $1800 is offered to the purchaser on the following terms:$200 deposit and the balance to be paid over 24 equal monthly instalments with interest charged at 11.5% p.a. flat rate. Find the monthly repayments
A) $53 B)$42 C) $62 D)$82
Answer: D) $82 Explanation: Total re... | HuggingFaceTB/finemath | |
# 130258 (number)
130,258 (one hundred thirty thousand two hundred fifty-eight) is an even six-digits composite number following 130257 and preceding 130259. In scientific notation, it is written as 1.30258 × 105. The sum of its digits is 19. It has a total of 2 prime factors and 4 positive divisors. There are 65,128 ... | HuggingFaceTB/finemath | |
# What is 18 out of 30 as a Percentage?
Find out how to calculate what 18 out of 30 is as a percentage with this easy to follow guide.
Checkout this video:
## Introduction
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, “%”, or sometimes ... | HuggingFaceTB/finemath | |
# Inverse trigonometry question
## Homework Statement
If 1/2<=x<=1
, then cos-1[ x/2 + (√(3-3x2))/2] + cos-1 x is equal to?
## The Attempt at a Solution
Substituting x=cosθ
= cos-1(cosθ) + cos-1 [ cos(θ)/2 + (√(3(1-cos2(θ)))/2]
= θ + cos-1 [cos (π/3) cos θ + sin (π/3) sinθ]
= θ + cos-1 [cos (θ -(π/3)]
= 2θ -(π/3)
=... | HuggingFaceTB/finemath | |
# Q&A game
Today, some of us were playing a game. Everyone contributed to the creation of a bank of questions which included “What kind of music do you like to listen to?” and “What is the strangest thing that you have eaten?”. A script was created to draw from a total of 72 unique questions at random with replacement... | HuggingFaceTB/finemath | |
St Paul's C of E Primary School
Heathside Grove
LEARNING to make a difference
# Week 3
Task 1: To know how to use and apply knowledge of my times tables.
For the first task, you must use the place value grid to practice multiplying and dividing by 10, 100 and 1000. For the second task, I would like you to choose ... | HuggingFaceTB/finemath | |
# The abline() function in R Do not miss this article if you are looking for a function to draw a straight line in R. Today, we will introduce the abline() function in R that helps you draw a straight line horizontally, vertically, and cross.
## The abline() function in R
The abline() function draws a straight horiz... | HuggingFaceTB/finemath | |
A Universal Key to the Science of Algebra: In which Some New Modes of Operation are Introduced Corresponding to the Cancelling System in Numbers ...
E. Morgan & Company, 1844 - Algebra - 167 pages
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Contents
Page 11 SECTION II ... | HuggingFaceTB/finemath | |
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# MCQs in Engineering Mathematics Part 1
(Last Updated On: December 8, 2017)
This is the Uncategorized Multiples Choice Questions Part 1 of the Series in Engineering Mathematics. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize each and every questions compiled here taken from variou... | HuggingFaceTB/finemath | |
Problem Set 4
# Problem Set 4 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...
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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2008 Problem Set 4 Due: Wednesday, March 5 at 11 am. Hand in your problem set in your section slot in the bo... | HuggingFaceTB/finemath | |
To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free) Top
Area of a Rectangle Calculator
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Area of a rectangle specifies an area in the coordinate space that is enclosed by the rectangular object. Rectangle Area Formula - Area of a Rectangle, $A = L \cdot W$ Where 'L' is the length of the rectangle and ... | HuggingFaceTB/finemath | |
# Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate Statistics
Time to Practice – Week Three
Complete both Part A and Part B below.
## Part A
Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate StatisticsThis dat... | HuggingFaceTB/finemath | |
Adding Decimals Worksheet Puzzle – Excellent, exciting and free math worksheets should be able to existing a statistical issue differently. Math is after all simply a numeric manifestation of a few of life’s most basic queries: How much money should i have remaining basically if i get a soda? In the end of the week, th... | HuggingFaceTB/finemath | |
Article
# On Fermat's Last Theorem
Authors:
To read the full-text of this research, you can request a copy directly from the author.
## No full-text available
... Nonetheless, the availability of the code (or proof) can be tremendously helpful to verify or re-implement the method. It is indeed much easier to verify... | open-web-math/open-web-math | |
# Unit vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) whose length is 1 (the unit length). A unit vector is often denoted by a lowercase letter with a superscribed caret or “hat”, like this: ${\hat{\imath}}$ (pronounced "i-hat").
In Euclidean space, the dot product ... | HuggingFaceTB/finemath | |
# 9.5: Area and Volume of Geometric Figures and Objects
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel... | HuggingFaceTB/finemath | |
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# OAA review - PowerPoint PPT Presentation
OAA review. 90. 88.5. 95. 486. 496. 562. 486. 484. How many tons does a whale weigh if it weighs 23,000 lbs? 1 ton = 2,000 lbs. The table to the right represents the number of compact discs that a company dupl... | HuggingFaceTB/finemath | |
## Does the equation represent Y as a function of x?
Definition 1.6. A relation in which each x-coordinate is matched with only one y-coordinate is said to describe y as a function of x. On the other hand, every x-coordinate in R2 occurs only once which means each x-coordinate has only one corresponding y-coordinate. ... | HuggingFaceTB/finemath | |
# MOA Reticle Formula – Ranging made EASY
When shooting Long Range, accurate range estimation is crucial so…I made these basic Range Estimation Tools using the MOA Reticle formula (or variations thereof).
These tools allow shooters to quickly calculate the Range to Target or the Target Size based on what they are see... | HuggingFaceTB/finemath | |
If d/dx {φ(x)) = f(x), ∫f(x)dx = φ(x) + C, where C is called the constant of integration … Calculus has a wide variety of applications in many fields of science as well as the economy. Integration is an important tool in calculus that can give an antiderivative or represent area under a curve. To Register Online Maths ... | HuggingFaceTB/finemath | |
Welcome to my math blog! The purpose of this blog is to help you stay informed about our learning and experiences that have taken place during our math class. I have also included links your child (and you) may want to use in order to supplement math learning in 5th grade.
## Wednesday, February 18, 2015
### Kahoot a... | HuggingFaceTB/finemath | |
A note on Gornik’s perturbation of Khovanov-Rozansky homology
A note on Gornik’s perturbation of Khovanov-Rozansky homology
Andrew Lobb Mathematics Department
Stony Brook University
Stony Brook NY 11794
USA
Abstract.
We show that the information contained in the associated graded vector space to Gornik’s version of ... | open-web-math/open-web-math | |
# Clean way to expand product $\prod_{k=1}^n (1 + x_k)$
Is there a clean way to write the expansion of:
$$\prod_{k=1}^n (1 + x_k) = (1 + x_1)(1 + x_2)\dots(1 + x_n)$$
The expansion may be written:
$$1+\sum_{1\le i \le n} x_i +\sum_{i \le n}\sum_{j\lt i} x_j x_i + \sum_{i \le n}\sum_{j\lt i}\sum_{k\lt j} x_kx_jx_i+\... | open-web-math/open-web-math | |
## what is 57÷3 1/3 I need this asap please
Question
what is 57÷3 1/3 I need this asap please
in progress 0
7 months 2021-07-25T20:46:46+00:00 2 Answers 4 views 0
## Answers ( )
1. First we need to turn 3 1/3 into an improper fraction:
3 1/3 = 10/3
Because we are dividing, multiply 57 my the reciprocal (the fact... | HuggingFaceTB/finemath | |
The weblog of Nicholas Chapman Fast rotation of a vector by a quaternionPosted 18 Jul 2018There is a fast way to compute the rotation of a vector by a quaternion, apparently noted first by Fabian Giesen. See this blog post. Since the original description/derivation seems to have been lost in the sands of time (pages 40... | HuggingFaceTB/finemath | |
# MA1201 - Linear Algebra and Geometry
### Examination arrangement
Examination arrangement: School exam
Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours D
### Course content
The course takes up basics of logic and set theory, methods of proof, and complex numbers. We solve... | HuggingFaceTB/finemath | |
# Euclid’s proof that there are infinitely many primes
Paul Erdős had this notion that God kept a book of the best proofs. Erdős called God’s book simply “the book.” Springer recently published Proofs from THE BOOK, a collection of elegant proofs that the authors suppose might be in God’s book.
For many mathematician... | HuggingFaceTB/finemath | |
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# Algebra I: Solving a Pair of Linear Equations by Graphing
by Brendan Kelly #### Objectives
• Graph a pair of linear equations and estimate their solu... | HuggingFaceTB/finemath |
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